Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m =
= 
F(x) =x² - 10x, f⁻¹(x) =?
1st find the missing square of x²-10x, ==> (x-5)² - 25
y= (x-5)² - 25; replace x by y and v0ce versa: x= (y-5)² -25
or
(y-5)² = x+25
y-5 = √(x+25) and y = √(x+25) -5
Domain = {x∈R: X>= 25} AND Range ={y∈R: y>= 5}
The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.
<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>
Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:
Slope = m = change in y / change in x
y-intercept = b (the value of y when x = 0).
The coordinates of the two points on line g is given as:
(-3, 2) = (x1, y1)
(0, 5) = (x2, y2).
Find the slope (m) of the line:
Slope (m) = (5 - 2)/(0 - (-3))
Slope (m) = 3/3
Slope (m) = 1.
Y-intercept (b) = 5
Substitute m = 1 and = 5 into y = mx + b:
y = x + 5
The equation of the line in slope-intercept form is: y = x + 5.
Learn more about the slope-intercept equation on:
brainly.com/question/1884491
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5 for the first one and 7 for the second hope this helps